Generating 3D printing points using an approximate mathematical expression of an RQB curve

Abstract

A non-transitory computer-readable medium may contain instructions. The instructions may direct the processor to: obtain a mathematical expression of Steiner patch that is part of a tessellation approximation of a three-dimensional (3D) object to be printed by a 3D printer, together with a height value of a slicing plane, determine an approximate mathematical expression of a Rational Quartic Bézier (RQB) curve, the RQB curve being an intersection of the slicing plane and the Steiner patch and generate 3D printing points in Euclidean space for the object based upon the approximate mathematical expression of the RQB, the 3D printing points for 3D printing of the 3D object.